Principal Component Maximization: A Novel Method for SAR Image Formation from Raw Data without System Parameters

Synthetic aperture radar (SAR) imaging traditionally requires precise knowledge of system parameters to implement focusing algorithms that transform raw data into high-resolution images. These algorithms require knowledge of SAR system parameters, such as wavelength, center slant range, fast time sampling rate, pulse repetition interval (PRI), waveform parameters (e.g., frequency modulation rate), and platform speed. This paper presents a novel framework for recovering SAR images from raw data without the requirement of any SAR system parameters. Firstly, we introduce an approximate matched filtering model that leverages the inherent shift-invariance properties of SAR echoes, enabling image formation through an adaptive reference echo estimation. To estimate this unknown reference echo, we develop a principal component maximization (PCM) technique that exploits the low-dimensional structure of the SAR signal. The PCM method employs a three-stage procedure: 1) data block segmentation, 2) energy normalization, and 3) principal component energy maximization across blocks, effectively handling non-stationary clutter environments. Secondly, we present a range-varying azimuth reference signal estimation method that compensates for the quadratic phase errors. For cases where PRI is unknown, we propose a two-step PRI estimation scheme that enables robust reconstruction of 2-D images from 1-D data streams. Experimental results on various SAR datasets demonstrate that our method can effectively recover SAR images from raw data without any prior system parameters.